Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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part c, b and d

The grid paper included on the following pages has been scaled so that each square measures
0.5 cm. You should use this grid paper to check your algebraic calculation of vector
properties.
1. Consider two vectors A = (41 + 4 1) cm and B = (-21 + 31) cm. Use the equation for
the magnitude of a vector to calculate the magnitude of the two vectors, i.e. A= A and
B =
A = A= (4^2+4^2)^1/2=4*sqrt(2)
B| =B =(-2)^2+3^2)^1/2 = sqrt(13)
b. Define an origin and the x andy axes on the grid paper, then use a ruler to draw arrows
representing the two vectors.
c. Use a ruler to measure the length of the two vectors on your grid. Does this agree with your
previous calculation of their magnitude? Should it?
d. Use the equation for a unit vector to calculate the unit vector for A (Le. Â). Draw this
vector on the grid and measure its length with a ruler.
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Transcribed Image Text:The grid paper included on the following pages has been scaled so that each square measures 0.5 cm. You should use this grid paper to check your algebraic calculation of vector properties. 1. Consider two vectors A = (41 + 4 1) cm and B = (-21 + 31) cm. Use the equation for the magnitude of a vector to calculate the magnitude of the two vectors, i.e. A= A and B = A = A= (4^2+4^2)^1/2=4*sqrt(2) B| =B =(-2)^2+3^2)^1/2 = sqrt(13) b. Define an origin and the x andy axes on the grid paper, then use a ruler to draw arrows representing the two vectors. c. Use a ruler to measure the length of the two vectors on your grid. Does this agree with your previous calculation of their magnitude? Should it? d. Use the equation for a unit vector to calculate the unit vector for A (Le. Â). Draw this vector on the grid and measure its length with a ruler.
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